RMITOpt Seminar – Dr. Robin Hill, Department of Electrical Engineering at the University of Melbourne

Speaker: Dr. Robin Hill, Honorary Professorial Fellow in the Department of Electrical Engineering at the University of Melbourne

Title:  Set Membership Filtering

Date and Time:  Friday, September 7th, 3.00pm – 4.00pm

Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet  please contact rmitopt@rmit.edu.au)

Abstract:    The problem of determining the polytopic set of possible states of a linear discrete-time system subject to bounded disturbances when the measurements are corrupted by bounded noise was formulated in the 1960s by Witsenhausen, Schweppe, Bertsekas and Rhodes.  These sets of states are termed (state) uncertainty sets. When a recursive solution is sought we have an estimation problem with similarities to a Kalman filter, the difference being that the noises are set bounded and not stochastic. I will describe an algorithm which, for the special case of a system with a scalar input and a scalar output, recursively updates the uncertainty sets when new measurements arrive. The procedure is exact, and has advantages when compared to existing schemes.  Possible areas of application are in fault detection, and control in the presence of bounded disturbances.

Joint work with Yousong Luo and Uwe Schwerdtfeger.

Bio:  Robin Hill was born in Mumbai, India, in 1950. He received the BSc (hons) degree in Applied Mathematics and PhD degree in Engineering, both from Monash University, Australia. In 1979/1980 he was an Alexander von Humboldt postdoctoral Fellow at the Technical University of Munich, Germany, and has had visiting positions with the Centre for Artificial Intelligence and Robotics, Bangalore, India, Stanford University, USA, Bielefeld University, Germany, and the University of Cambridge, UK. His research interests are in structural optimisation, set-membership estimation and control, and aerospace applications. He is currently an Honorary Professorial Fellow in the Department of Electrical Engineering at the University of Melbourne, Australia.

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